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Matrices
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Basic terminology and notation
Operations on matrices
Particular types of matrices
Matrix equivalence
Canonical forms of matrices
Factorization of matrices
Similarity of matrices
Nonsingular matrices and equivalences
Rank and mullity
Eigenvalues and eigenvectors
Determinants
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Definition of column rank of a matrix
Definition of rank of a matrix
Definition of nullity of a matrix
The rank of a matrix equals number of pivots in a reduced row echelon form.
The rank of a matrix equals the rank of the linear transformation it represents.
The row space and the column space of a matrix have the same dimension.
If A is a matrix
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Definition of column rank of a matrix
Definition of rank of a matrix
Definition of nullity of a matrix
The rank of a matrix equals number of pivots in a reduced row echelon form.
The rank of a matrix equals the rank of the linear transformation it represents.
The row space and the column space of a matrix have the same dimension.
If A is a matrix
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